6.447 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.084 * * [simplify]: iteration 0 : 20 enodes (cost 7 ) 0.086 * * [simplify]: iteration 1 : 43 enodes (cost 7 ) 0.087 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.089 * * [simplify]: iteration 3 : 155 enodes (cost 7 ) 0.092 * * [simplify]: iteration 4 : 262 enodes (cost 7 ) 0.096 * * [simplify]: iteration 5 : 454 enodes (cost 7 ) 0.106 * * [simplify]: iteration 6 : 2878 enodes (cost 7 ) 0.180 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.180 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.181 * * [progress]: iteration 1 / 4 0.181 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.191 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.197 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.209 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.209 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.210 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.215 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.215 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.215 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.216 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.216 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.216 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.217 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.217 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.217 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.217 * [taylor]: Taking taylor expansion of 5.0 in v 0.217 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.217 * [taylor]: Taking taylor expansion of v in v 0.217 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.217 * [taylor]: Taking taylor expansion of 5.0 in v 0.217 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.217 * [taylor]: Taking taylor expansion of v in v 0.226 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.226 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.226 * [taylor]: Taking taylor expansion of 5.0 in v 0.226 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.226 * [taylor]: Taking taylor expansion of v in v 0.227 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.227 * [taylor]: Taking taylor expansion of 5.0 in v 0.227 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.227 * [taylor]: Taking taylor expansion of v in v 0.235 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.235 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.235 * [taylor]: Taking taylor expansion of 5.0 in v 0.235 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.235 * [taylor]: Taking taylor expansion of v in v 0.235 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.235 * [taylor]: Taking taylor expansion of 5.0 in v 0.235 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.235 * [taylor]: Taking taylor expansion of v in v 0.243 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.243 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.243 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.243 * [taylor]: Taking taylor expansion of 1.0 in v 0.243 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.243 * [taylor]: Taking taylor expansion of 5.0 in v 0.243 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.243 * [taylor]: Taking taylor expansion of v in v 0.243 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.243 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.243 * [taylor]: Taking taylor expansion of v in v 0.243 * [taylor]: Taking taylor expansion of 1.0 in v 0.245 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.245 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.245 * [taylor]: Taking taylor expansion of 1.0 in v 0.245 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.245 * [taylor]: Taking taylor expansion of 5.0 in v 0.245 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.245 * [taylor]: Taking taylor expansion of v in v 0.245 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.245 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.245 * [taylor]: Taking taylor expansion of v in v 0.245 * [taylor]: Taking taylor expansion of 1.0 in v 0.263 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.263 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.263 * [taylor]: Taking taylor expansion of 1.0 in v 0.263 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.263 * [taylor]: Taking taylor expansion of 5.0 in v 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.263 * [taylor]: Taking taylor expansion of v in v 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.263 * [taylor]: Taking taylor expansion of v in v 0.264 * [taylor]: Taking taylor expansion of 1.0 in v 0.266 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.266 * [taylor]: Taking taylor expansion of 1.0 in v 0.266 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.266 * [taylor]: Taking taylor expansion of 5.0 in v 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.266 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.266 * [taylor]: Taking taylor expansion of v in v 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.266 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.266 * [taylor]: Taking taylor expansion of v in v 0.267 * [taylor]: Taking taylor expansion of 1.0 in v 0.292 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.292 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.292 * [taylor]: Taking taylor expansion of 1.0 in v 0.292 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.292 * [taylor]: Taking taylor expansion of 5.0 in v 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.292 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.292 * [taylor]: Taking taylor expansion of v in v 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.298 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.298 * [taylor]: Taking taylor expansion of v in v 0.299 * [taylor]: Taking taylor expansion of 1.0 in v 0.301 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.301 * [taylor]: Taking taylor expansion of 1.0 in v 0.301 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.301 * [taylor]: Taking taylor expansion of 5.0 in v 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.301 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.301 * [taylor]: Taking taylor expansion of v in v 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.301 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.301 * [taylor]: Taking taylor expansion of v in v 0.302 * [taylor]: Taking taylor expansion of 1.0 in v 0.326 * * * [progress]: simplifying candidates 0.327 * [simplify]: Simplifying using # : (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (log (- 1.0 (* 5.0 (* v v)))) (log (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (* (* (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* 5.0 (* v v)))) (* (* (- (* v v) 1.0) (- (* v v) 1.0)) (- (* v v) 1.0))) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (* v v) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) 1) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) 1) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ 1 1) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) 1) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) 0.333 * * [simplify]: iteration 0 : 349 enodes (cost 623 ) 0.339 * * [simplify]: iteration 1 : 1288 enodes (cost 567 ) 0.360 * * [simplify]: iteration 2 : 5001 enodes (cost 565 ) 0.364 * [simplify]: Simplified to: (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (* (pow 5.0 3) (pow v 6)) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (pow v 2) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) 1 (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (- 1.0 (* 5.0 (* v v))) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (- (* v v) 1.0)) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (fma 4.0 (fma v v (pow v 4)) (- 1.0)) (- (/ (- 4.0) (pow v 2)) (fma 4.0 (/ 1 (pow v 4)) 5.0)) (- (/ (- 4.0) (pow v 2)) (fma 4.0 (/ 1 (pow v 4)) 5.0)) 0.364 * * * [progress]: adding candidates to table 0.534 * * [progress]: iteration 2 / 4 0.534 * * * [progress]: picking best candidate 0.540 * * * * [pick]: Picked # 0.540 * * * [progress]: localizing error 0.550 * * * [progress]: generating rewritten candidates 0.550 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 0.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.568 * * * [progress]: generating series expansions 0.568 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.568 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.568 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.569 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.570 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.570 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.570 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.571 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.571 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.571 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.572 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 0.572 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.572 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.572 * [taylor]: Taking taylor expansion of 5.0 in v 0.572 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.572 * [taylor]: Taking taylor expansion of v in v 0.572 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.572 * [taylor]: Taking taylor expansion of 5.0 in v 0.572 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.572 * [taylor]: Taking taylor expansion of v in v 0.580 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.580 * [taylor]: Taking taylor expansion of 5.0 in v 0.580 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.580 * [taylor]: Taking taylor expansion of v in v 0.581 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.581 * [taylor]: Taking taylor expansion of 5.0 in v 0.581 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.581 * [taylor]: Taking taylor expansion of v in v 0.588 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.588 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.588 * [taylor]: Taking taylor expansion of 5.0 in v 0.588 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.588 * [taylor]: Taking taylor expansion of v in v 0.589 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.589 * [taylor]: Taking taylor expansion of 5.0 in v 0.589 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.589 * [taylor]: Taking taylor expansion of v in v 0.596 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.596 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.596 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.597 * [taylor]: Taking taylor expansion of 5.0 in v 0.597 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.597 * [taylor]: Taking taylor expansion of v in v 0.597 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.597 * [taylor]: Taking taylor expansion of 5.0 in v 0.597 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.597 * [taylor]: Taking taylor expansion of v in v 0.604 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.604 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.604 * [taylor]: Taking taylor expansion of 5.0 in v 0.604 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.604 * [taylor]: Taking taylor expansion of v in v 0.605 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.605 * [taylor]: Taking taylor expansion of 5.0 in v 0.605 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.605 * [taylor]: Taking taylor expansion of v in v 0.617 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.617 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.617 * [taylor]: Taking taylor expansion of 5.0 in v 0.617 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.617 * [taylor]: Taking taylor expansion of v in v 0.618 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.618 * [taylor]: Taking taylor expansion of 5.0 in v 0.618 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.618 * [taylor]: Taking taylor expansion of v in v 0.625 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.625 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in (v) around 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in v 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.626 * [taylor]: Taking taylor expansion of 1.0 in v 0.626 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.626 * [taylor]: Taking taylor expansion of 5.0 in v 0.626 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.626 * [taylor]: Taking taylor expansion of v in v 0.627 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (pow v 2)))) in v 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.627 * [taylor]: Taking taylor expansion of 1.0 in v 0.627 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.627 * [taylor]: Taking taylor expansion of 5.0 in v 0.627 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.627 * [taylor]: Taking taylor expansion of v in v 0.643 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.643 * [taylor]: Taking taylor expansion of 1.0 in v 0.643 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.643 * [taylor]: Taking taylor expansion of 5.0 in v 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.643 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.643 * [taylor]: Taking taylor expansion of v in v 0.647 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.647 * [taylor]: Taking taylor expansion of 1.0 in v 0.647 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.647 * [taylor]: Taking taylor expansion of 5.0 in v 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.647 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.647 * [taylor]: Taking taylor expansion of v in v 0.671 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in (v) around 0 0.671 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.671 * [taylor]: Taking taylor expansion of 1.0 in v 0.671 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.671 * [taylor]: Taking taylor expansion of 5.0 in v 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.671 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.671 * [taylor]: Taking taylor expansion of v in v 0.675 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 5.0 (/ 1 (pow v 2))))) in v 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.675 * [taylor]: Taking taylor expansion of 1.0 in v 0.675 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.675 * [taylor]: Taking taylor expansion of 5.0 in v 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.675 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.675 * [taylor]: Taking taylor expansion of v in v 0.705 * * * [progress]: simplifying candidates 0.706 * [simplify]: Simplifying using # : (expm1 (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (log1p (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (/ PI 2) (asin (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (exp (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (* (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (sqrt (- 1.0 (* 5.0 (* v v))))) (log1p (sqrt (- 1.0 (* 5.0 (* v v))))) (log (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (* (* (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v)))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt 1) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (sqrt (+ 1.0 (* 5.0 (* v v)))) (/ 1 2) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (- (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0)))))) (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3))))) (- (* 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3)))) (+ (* v (sqrt (- 5.0))) (* 0.5 (/ 1 (* v (sqrt (- 5.0))))))) 0.711 * * [simplify]: iteration 0 : 264 enodes (cost 505 ) 0.716 * * [simplify]: iteration 1 : 875 enodes (cost 452 ) 0.732 * * [simplify]: iteration 2 : 4161 enodes (cost 451 ) 0.815 * * [simplify]: iteration 3 : 5002 enodes (cost 451 ) 0.818 * [simplify]: Simplified to: (expm1 (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (log1p (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (/ PI 2) (asin (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))) (log (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (exp (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (* (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))))) (cbrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (sqrt (acos (* (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0))))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (sqrt (- 1.0 (* 5.0 (* v v))))) (log1p (sqrt (- 1.0 (* 5.0 (* v v))))) (log (sqrt (- 1.0 (* 5.0 (* v v))))) (exp (sqrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v)))))) (cbrt (sqrt (- 1.0 (* 5.0 (* v v))))) (pow (sqrt (- 1.0 (* 5.0 (* v v)))) 3) (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt 1) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (sqrt (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v))))) (sqrt (+ 1.0 (* 5.0 (* v v)))) 1/2 (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 5.0 (* v v))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (sqrt 1.0) (+ (* 2.5 (/ (pow v 2) (sqrt 1.0))) (* 3.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))) (fma (- 0.125) (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3))) (fma (sqrt (- 5.0)) v (/ (/ 0.5 (sqrt (- 5.0))) v))) (fma 0.125 (/ 1 (* (pow v 3) (pow (sqrt (- 5.0)) 3))) (- (fma v (sqrt (- 5.0)) (* 0.5 (/ 1 (* v (sqrt (- 5.0)))))))) 0.818 * * * [progress]: adding candidates to table 1.020 * * [progress]: iteration 3 / 4 1.020 * * * [progress]: picking best candidate 1.024 * * * * [pick]: Picked # 1.024 * * * [progress]: localizing error 1.032 * * * [progress]: generating rewritten candidates 1.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.032 * * * [progress]: generating series expansions 1.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.033 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 1.033 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.034 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.035 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 1.035 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.036 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.037 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 1.037 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.038 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.039 * * * [progress]: simplifying candidates 1.039 * [simplify]: Simplifying using # : (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (* (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 1.042 * * [simplify]: iteration 0 : 30 enodes (cost 93 ) 1.043 * * [simplify]: iteration 1 : 54 enodes (cost 82 ) 1.045 * * [simplify]: iteration 2 : 153 enodes (cost 82 ) 1.049 * * [simplify]: iteration 3 : 423 enodes (cost 82 ) 1.062 * * [simplify]: iteration 4 : 1909 enodes (cost 82 ) 1.131 * * [simplify]: iteration 5 : 5001 enodes (cost 82 ) 1.132 * [simplify]: Simplified to: (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (pow (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 3) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 1.132 * * * [progress]: adding candidates to table 1.168 * * [progress]: iteration 4 / 4 1.168 * * * [progress]: picking best candidate 1.172 * * * * [pick]: Picked # 1.172 * * * [progress]: localizing error 1.185 * * * [progress]: generating rewritten candidates 1.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.186 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.186 * * * [progress]: generating series expansions 1.186 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.187 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 1.187 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.187 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.189 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 1.189 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.189 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.191 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 1.191 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.191 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.193 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.193 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in (v) around 0 1.193 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 1.193 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1) 1.193 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 1.193 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.193 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1.193 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.193 * [taylor]: Taking taylor expansion of 1 in v 1.193 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.195 * [taylor]: Taking taylor expansion of 1 in v 1.195 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 1.195 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1) 1.195 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 1.195 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.195 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1.195 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.195 * [taylor]: Taking taylor expansion of 1 in v 1.195 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.197 * [taylor]: Taking taylor expansion of 1 in v 1.246 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in (v) around 0 1.246 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 1.246 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1) 1.246 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 1.246 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.246 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1.246 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.246 * [taylor]: Taking taylor expansion of 1 in v 1.246 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.254 * [taylor]: Taking taylor expansion of 1 in v 1.255 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 1.255 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1) 1.255 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 1.255 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.255 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1.255 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.255 * [taylor]: Taking taylor expansion of 1 in v 1.255 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.256 * [taylor]: Taking taylor expansion of 1 in v 1.302 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in (v) around 0 1.302 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 1.302 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1) 1.302 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 1.302 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.303 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1.303 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.303 * [taylor]: Taking taylor expansion of 1 in v 1.303 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.304 * [taylor]: Taking taylor expansion of 1 in v 1.304 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 1.304 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1) 1.304 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 1.304 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.305 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1.305 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.305 * [taylor]: Taking taylor expansion of 1 in v 1.305 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.306 * [taylor]: Taking taylor expansion of 1 in v 1.357 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.357 * [approximate]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in (v) around 0 1.358 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.358 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1.358 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.358 * [taylor]: Taking taylor expansion of 1 in v 1.358 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.359 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.359 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1.359 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.359 * [taylor]: Taking taylor expansion of 1 in v 1.359 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.389 * [approximate]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in (v) around 0 1.389 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.390 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1.390 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.390 * [taylor]: Taking taylor expansion of 1 in v 1.390 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.391 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.391 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1.391 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.391 * [taylor]: Taking taylor expansion of 1 in v 1.391 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.423 * [approximate]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in (v) around 0 1.423 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.423 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1.423 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.423 * [taylor]: Taking taylor expansion of 1 in v 1.423 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.424 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.425 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1.425 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.425 * [taylor]: Taking taylor expansion of 1 in v 1.425 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.462 * * * [progress]: simplifying candidates 1.463 * [simplify]: Simplifying using # : (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (* (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (expm1 (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log1p (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))) (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (* (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log1p (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (* (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (* (* (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (+ (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 1)) (log (+ (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 1)) (log (+ (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 1)) 1.466 * * [simplify]: iteration 0 : 56 enodes (cost 296 ) 1.468 * * [simplify]: iteration 1 : 88 enodes (cost 258 ) 1.470 * * [simplify]: iteration 2 : 187 enodes (cost 256 ) 1.473 * * [simplify]: iteration 3 : 462 enodes (cost 256 ) 1.487 * * [simplify]: iteration 4 : 1961 enodes (cost 256 ) 1.556 * * [simplify]: iteration 5 : 5001 enodes (cost 256 ) 1.557 * [simplify]: Simplified to: (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (pow (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 3) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (pow (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 3) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log1p (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (pow (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 3) (sqrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 1.558 * * * [progress]: adding candidates to table 1.661 * [progress]: [Phase 3 of 3] Extracting. 1.661 * * [regime]: Finding splitpoints for: (# # # # # #) 1.662 * * * [regime-changes]: Trying 2 branch expressions: ((* v v) v) 1.662 * * * * [regimes]: Trying to branch on (* v v) from (# # # # # #) 1.685 * * * * [regimes]: Trying to branch on v from (# # # # # #) 1.714 * * * [regime]: Found split indices: #